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On the non-uniqueness of the electromagnetic instantaneous response

Publiceringsår: 2003
Språk: Engelska
Sidor: 1743-1758
Publikation/Tidskrift/Serie: J. Phys. A: Math. Gen.
Volym: 36
Nummer: 6
Dokumenttyp: Artikel
Förlag: IOP Publishing Limited


The instantaneous response models the rapid part of the interaction between electromagnetic fields and materials. From a physical point of view the instantaneous response is non-observable and from a mathematical point of view it constitutes the principal part of the Maxwell equations. In this paper, it is shown that the instantaneous response is not uniquely determined from a given set of values of the constitutive map. The given values only give an upper bound on the size of the instantaneous response. A numerical example illustrates the non-uniqueness of the instantaneous response.



  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering


  • ISSN: 0305-4470

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